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Finding the Fourth Proportional to 425.22, 586.23 and 277.80

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Solution

The fourth proportional to 425.22, 586.23 and 277.80 is: 382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.22 : 586.23 = 277.80 : x
  2. Step 2: Convert to fraction form
    425.22/586.23 = 277.80/x
  3. Step 3: Cross multiply
    425.22x = 586.23 × 277.80
  4. Step 4: Simplify right side
    425.22x = 162,854.69
  5. Step 5: Solve for x
    x = 162,854.69/425.22
  6. Step 6: Final answer
    x = 382.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.